The sum of three time and number and two times that Sam number is equal to fifteen less than 2 times that number

Question

math

Answer 1

We’ll just call the number X and use the information from the word problem to write an equation describing the situation.

3X + 2X = 2X -15

Rewrite the equation so that all of the X’s are on one side. This can be done by subtracting 2X from both sides of the equation.
3X + 2X -2X = -15
Now simplify by combining all of the X’s.
3X = -15
Divide each side by 3 to solve for X.
X = -5

Now let’s double-check the answer by substituting the value -5 in for X in the original equation.
3(-5) + 2(-5) = 2(-5) -15
This simplifies to:
-15 -10 = -10 -15
This simplifies again to:
-25 = -25
So this confirms that -5 is the correct solution.